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Finding the Fourth Proportional to 219,765.60, 329,842.80 and 188,272.80

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Solution

The fourth proportional to 219,765.60, 329,842.80 and 188,272.80 is: 282,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,765.60 : 329,842.80 = 188,272.80 : x
  2. Step 2: Convert to fraction form
    219,765.60/329,842.80 = 188,272.80/x
  3. Step 3: Cross multiply
    219,765.60x = 329,842.80 × 188,272.80
  4. Step 4: Simplify right side
    219,765.60x = 62,100,427,515.84
  5. Step 5: Solve for x
    x = 62,100,427,515.84/219,765.60
  6. Step 6: Final answer
    x = 282,575.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.